Finding the Third Proportional to 220,416 and 477,456

Step by Step Solution

1. Step 1: Write the proportion equation
   220,416 : 477,456 = 477,456 : x
2. Step 2: Convert to fraction form
   220,416/477,456 = 477,456/x
3. Step 3: Cross multiply
   220,416x = 477,456 × 477,456
4. Step 4: Simplify right side
   220,416x = 227,964,231,936
5. Step 5: Solve for x
   x = 227,964,231,936/220,416
6. Step 6: Final answer
   x = 1,034,245.39